IMEX peer methods for fast-wave-slow-wave problems

DOI10.1016/j.apnum.2017.02.016zbMath1367.65111OpenAlexW2596232220MaRDI QIDQ2359658

Behnam Soleimani, Rüdiger Weiner, Oswald Knoth

Publication date: 22 June 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.02.016

zbMATH Keywords

stabilityweather predictionimplicit-explicit methodsfast-wave-slow-wave problemspartitioned peer methodsstiff and nonstiff parts

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Meteorology and atmospheric physics (86A10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for stiff equations (65L04)

Related Items (10)

A unified formulation of splitting-based implicit time integration schemes ⋮ Two-step peer methods with equation-dependent coefficients ⋮ Convergence results for implicit-explicit general linear methods ⋮ Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part ⋮ Implicit-explicit second derivative diagonally implicit multistage integration methods ⋮ Super-convergent implicit-explicit peer methods with variable step sizes ⋮ A comparison of one-step and two-step W-methods and peer methods with approximate matrix factorization ⋮ Well-Balanced and Asymptotic Preserving IMEX-Peer Methods ⋮ Superconvergent IMEX peer methods ⋮ An Optimized Explicit–Implicit Time-Marching Formulation for Dynamic Analysis

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite
• ASAM
• phipm

Cites Work

• Unnamed Item
• Exponential Krylov peer integrators
• Partitioned and implicit-explicit general linear methods for ordinary differential equations
• High-order linearly implicit two-step peer - finite element methods for time-dependent PDEs
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• On the stability of implicit-explicit linear multistep methods
• Rosenbrock-type `peer' two-step methods
• Implicit parallel peer methods for stiff initial value problems
• Implicit-explicit methods for reaction-diffusion problems in pattern formation
• A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems
• Superconvergent explicit two-step peer methods
• IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
• Multirate infinitesimal step methods for atmospheric flow simulation
• A class of implicit peer methods for stiff systems
• Extrapolation-based implicit-explicit Peer methods with optimised stability regions
• Explicit two-step peer methods
• Implicit peer methods for large stiff ODE systems
• Multi-implicit peer two-step W-methods for parallel time integration
• Semi-implicit Time Integration of Atmospheric Flows with Characteristic-Based Flux Partitioning
• Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
• A Class Of Implicit-Explicit Two-Step Runge--Kutta Methods
• Algorithm 919
• The MATLAB ODE Suite
• Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Numerik gewöhnlicher Differentialgleichungen
• General linear methods
• Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations

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